Jet Topology

Understand

We introduce persistent Betti numbers to characterize topological structure of jets.

• These topological invariants measure multiplicity and connectivity of jet branches at a given scale threshold, while their persistence records evolution of each topological feature as this threshold varies.
• With this knowledge, in particular, we are able to reconstruct branch phylogenetic tree of each jet.
• These points are demonstrated in the benchmark scenario of light-quark versus gluon jets.